Answer:
3rd graph down
Step-by-step explanation:
greens are x and carrots are y in my equations
2x - y >= 3
x + 2y < 4
The first equation is solid and will highlight everything to the right of it because it is a >
the second is dashed and will highlight everything to the left of it because it is a <
the only 2 graphs that show this are 1 and 3
looking at the points you can see that the points for the solid line are both the same so ignore those and go to the dashed lined ones.
on the first graph the points are (0,4)
plugging those into our equation gives us 0 + 2*4 <4
or 8<4 which doesnt make sense making 3 the correct graph
(sorry my answer wasnt posting so i had to start over and make it less detailed, but comment if you need any explanation)
From the Arithmetic Information given, Pr = 0.049375 ≠ -8.050625 ≠ 0.0325 See explanation below.
<h3>
What are the step by steps solution to the questions above?</h3>
First, lets us restate the question properly. We have
Pr = 1 - ((6*12+6)/80)² = 1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) = 1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²
Note that there are three equals signs. So lets divide the problem according and solve for the different parts.
Lets 1 - ((6*12+6)/80)² ............A
1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400) .............B; and
1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6² ........C
Solving for A we have
1 - (78/80)²
= 1 - (0.975)²
= 1 - 0.950625
A = 0.049375
Solving for B we have
1 - ((9*12²)/1600) - ((3*12*6)/1600) - (6²/6400)
= 1- (14,256/1600) - (216/1600) - (36/6400)
= 1 - 8.91 - 0.135 - 0.005625
B = -8.050625
Solving for C we have
1 - 0.005625 * 12² - 0.001875 * 12 * 6 - 0.00015625 * 6²
= 1 - 0.005625 * 144 - 0.001875 * 12 * 6 - 0.00015625 * 144
= 0.0325
In summary we can state that:
A = 0.049375
B = -8.050625
C = 0.0325
Given that there were no abstract quantities, we can state that
Pr = A ≠ B ≠C or
Pr = 0.049375 ≠ -8.050625 ≠ 0.0325
Learn more about equations with equal signs at
brainly.com/question/18924248
#SPJ1
Answer: 512 cm³
Explanation: Since the length, width, and height of a cube are all equal,
we can find the volume of a cube by multiplying side × side × side.
So we can find the volume of a cube using the formula v = s³.
In the cube in this problem, we have a side length of 8 cm.
So plugging into the formula, we have (8 cm)³
or (8 cm)(8 cm)(8 cm), which is 512 cm³.
So the volume of the cube is 512 cm³.
Answer:
1. y = -3^ x Translated up by 1 unit 2.
2.y = 3^ -x Reflected over the y-axis 3.
3.y = 3 ^x - 2 Translated right by 2 units 4.
4. y = 3 ^x + 1 Translated down by 2 units 5.
5. y = 3^ x + 1 Translated left by 1 unit 6.
6. y = 3 ^x - 2 Reflected over the x-axis
Step-by-step explanation:
